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Finding the Third Proportional to 100,720 and 209,816

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Solution

The third proportional to 100,720 and 209,816 is: 437,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,720 : 209,816 = 209,816 : x
  2. Step 2: Convert to fraction form
    100,720/209,816 = 209,816/x
  3. Step 3: Cross multiply
    100,720x = 209,816 × 209,816
  4. Step 4: Simplify right side
    100,720x = 44,022,753,856
  5. Step 5: Solve for x
    x = 44,022,753,856/100,720
  6. Step 6: Final answer
    x = 437,080.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.